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Finding the Third Proportional to 326,754 and 711,643.50

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Solution

The third proportional to 326,754 and 711,643.50 is: 1,549,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,754 : 711,643.50 = 711,643.50 : x
  2. Step 2: Convert to fraction form
    326,754/711,643.50 = 711,643.50/x
  3. Step 3: Cross multiply
    326,754x = 711,643.50 × 711,643.50
  4. Step 4: Simplify right side
    326,754x = 506,436,471,092.25
  5. Step 5: Solve for x
    x = 506,436,471,092.25/326,754
  6. Step 6: Final answer
    x = 1,549,901.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.